Jim buys a skateboard for $200. The value of the skateboard depreciates by 15% each year
since buying it. Create a function to represent the value of the skateboard, f(2), in dollars,
after 3 years since buying it.

Answers

Answer 1

Answer: f(x)=200•(0.85)^x

Step-by-step explanation:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

Depreciation is often modeled as an exponential decay function. Since Jim bought a skateboard for Co=$200, its value will depreciate by r=15% = 0.15 each year since buying it.


Related Questions

evaluate the expression 2x+6 if x = 4

Answers

2(4)+6
8+6
=14
you’re welcome :)

Solve 3-4/7 with steps pls

Answers

Since there are multiple steps, we would use PEMDAS. Since dividing comes before subtracting, we would divide -4/7 first.
-4/7= −0.571428571428571
Since it’s a really big decimal, we’re going to round it to the nearest hundredth. That would get you -0.57
Next we would do 3-0.57
3-0.57= 2.43


So your answer would be 2.43

Hope it helps :)

The top of a circular table has a radius of 16 inches. What is the approximate circumference
of the tabletop? Use 3.14 for a.

Answers

Answer:

100.5 inches approximately

Step-by-step explanation:

2πr = circumference

r=16

3.14*16*2=100.48

What is the equation of the line passing through points (1,1) and (3,-5)

Answers

Answer:

m=-3

Step-by-step explanation:

Elena has $5 and sells pens for $1.50 each. She wants to
have enough money to buy a $20 shirt and still have money
left over

Answers

Answer:

10 pens

Step-by-step explanation:

Find out how much pens she needs to sell to get $15, to get $15, exclude out how much Elena has.

$20 - $5 = $15

Now divide.

$15.00 ÷ $1.50 = 10 pens

Answer:

She will need to sell more than 10 pens to have enough money to buy a $20 shirt and still have money.

Step-by-step explanation:

1.5x + 5 > 20

         -5   +5

1.5x > 15

/1.5   /1.5

x > 10

John bought 4 pants that each cost the same amount and a pair of sneakers that cost $65. The items he bought cost a total of $145 before tax was added. Which equation represents the cost of each pants, p.

Answers

Answer:p=$20

Step-by-step explanation:

145-65=80

80/4=20

so each pant costs $20

p=$20

what is the mesuement for y

Answers

Answer:

60 degrees

Step-by-step explanation:

add all together

make an equation of the sum= 180

this would mean 9r-9=180

solve

9r-9=180

9r=189

r=21

plug 21 in for r on the angle Y

solve

3(21)-3

63-3

60

can you help me please ??​

Answers

Answer:

25 pages.

Step-by-step explanation:

all the other answers seem to be less than 200. 20(10) is 200, but it says more than 200 pages. so that means the only correct answer is 25 pages per day. 25(10) is 250 pages, exceeding 200.

Melissa made a school banner 3 yards long and 11/12 yard wide what is the area of the banner?


Help pls

Answers

3=36/12
11/12x36/12
396/144
2 3/4

Help plzzzzzzzzzzzzzzzzzz

Answers

Answer:

The  given equation is of the form

p( x+ q)² + r   =  [tex]3((x+(-\frac{7}{6})^{2} +(-\frac{61}{12})[/tex]

Step-by-step explanation:

Step(i):-

Given equation  3 x² - 7 x -1

                =  [tex]3(x^{2} -\frac{7}{3} x )-1[/tex]

                = [tex]3(x^{2} -2 X \frac{7}{3X2} +(\frac{7}{6} )^{2}-(\frac{7}{6} ^{2} )-1[/tex]

               = [tex]3(x^{2} -2 X \frac{7}{6} +(\frac{7}{6} )^{2}-(\frac{49}{36} )) -1[/tex]

Step(ii):-

We know that formula

(a-b)² = a² - 2ab + b²

[tex]3x^{2} -7x-1 = 3((x-\frac{7}{6})^{2} -( 3X\frac{49}{36} )) -1[/tex]

[tex]3x^{2} -7x-1 = 3((x-\frac{7}{6})^{2} -\frac{61}{12}[/tex]

Final answer:-

The  given equation is of the form

p( x+ q)² + r   =  [tex]3((x+(-\frac{7}{6})^{2} +(-\frac{61}{12})[/tex]

                     

i need help finding the missing angle measurement​

Answers

Answer:

70

Step-by-step explanation:

Which number is smaller? cube root of 348, Or the square root of 48

Answers

Answer:

Square root of 48

Step-by-step explanation:

The cube root of 348 is ~7.03, but the square root of 48 is ~6.9. Making the square root of 48 smaller.

BRAINLIEST. HELP pleaseee

Answers

Answer:

2x = 10

Simplifying

2x = 10

Solving

2x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '2'.

x = 5

Simplifying

x = 5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

-8+2x=10

-8 + 2x + 8 = 10 + 8

2x/2 = 18/2

x=9

The price of an item at the store can be defined by the variable h. Based on this information, which of the options below represents a markup in price for that item? Select all that apply.
A) 1.05h
B) 1.15h
C) 1.03h
D) 0.95h
E) 0.8h

please help this is the last question i have, at least for now :(

Answers

Answer:

i just took the test the answer is A,B and C.

Step-by-step explanation:

Answer:

ABC

Step-by-step explanation:

PLEASE HELP


The Linear function m=45-8b represents The amount m (in dollars) money that you have after buying b books. select all the values that are in the domain of function.

Answers

Answer:

b = {0, 1, 2, 3, 4, 5}

Step-by-step explanation:

The domain of a function is simply all the possible values the independent variable can assume that the function will work and will give a real number.

In this question, we have:

m = 45 – 8b

b is the independent variable because the money, m, depends on the number of books, b, bought.

Since we can't have negative value for m as it represents an amount of money, then the values b can assume can be gotten through:

45 – 8b = 0,

8b = 45

b = 45/8 = 5.625

For the m, money, to remain positive b shouldn't go beyond 5.625

Also we should note that b, books, can't be a negative (no such thing as negative books) or a fractional value (no such thing as buying parts of a book) as well. Therefore, b = {0, 1, 2, 3, 4, 5}

help please, solve for x

Answers

Answer:

x=18

Step-by-step explanation:

The angles here are alternate interior angles, this means that they are congruent. Congruent means that they are equal to each other, so to solve just set them equal! (Your variable is x so you're solving for that)

[tex]4x=72[/tex]

Divide both sides by 4:

[tex]x=18[/tex]

Hope this helps! :)

Write an inequality to represent each sentence.
1. A number cis at least 12.

Answers

Answer:

n ≤ 12

Step-by-step explanation:

The variable n represents a number. Since you see the phrase “at least” that means that it could be less than, or equal to that number. Therefore, the inequality to represent this sentence is n ≤ 12.

I hope this helps you :D

HELP ME PLZ HELP ME PLZ HELP ME PLZ HELP ME PLZ HELP ME PLZ HELP ME PLZ HELP ME PLZ HELP ME PLZ

Answers

Answer:

x=10

Step-by-step explanation:

it is saying x-2 multiplied by 5=40

5(x-2)=40

5x-10=40

5x=50

x=10

Answer:

8

Step-by-step explanation:

$8

Number 2 please help

Answers

Answer:

you just have to check the first and the third box

Step-by-step explanation:

put each into slop intercept form

y+6=-5(x-2) is the same as y=-5x+4

y-2=-5(x+6) is the same as y=-5x-28

y=-5x+4

y=-5x-28

all of them have a slope of -5, but you need to plug in (2,-6) to see which on is true

Please help i am very confused

Answers

Answer:

[tex]\sqrt{80}[/tex]

80 is the number in the square root

Step-by-step explanation:

[tex]d = \sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} } \\d = \sqrt{(4-(-4) )^{2} +(5- 1 )^{2} }\\d = \sqrt{(4+4 )^{2} +4^{2}\\d = \sqrt{8^{2} +4^{2} }\\d=\sqrt{64 +16}\\d=\sqrt{80}[/tex]

Can someone help me me I think I'm bad at this honestly..

Answers

Answer:

J

A=7.07cm^2

Step-by-step explanation:

A= (pi)(r^2)

diameter=3

radius= 1/2 of the diameter = 1.5

pi = approximately 3.14

A= (3.14) (1.5)^2

A= 7.065 ----> rounds to 7.07

Given f(x) = 2x2 - 4, what is f(3)

Answers

Answer:

x=3f/2+1 sorry if thats not right because i don't know if it's a positive or negative there

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

just plug in 3 for x

2*3^2-4 = 18-4 = 14

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Dalia has 9 hamsters and 4 fish at her house Choose the ratio of fish to the total number of pets. Select all that apple

Answers

Answer:

AYO

Step-by-step explanation:

WHAT GRADE WORK IS THAT THATS A WHOLE STORY

yeah i have no idea how to do this

Answers

Answer:

I Hope it will help u

Step-by-step explanation:

Your solution is in image ,

please brain-list it it takes effort ,

I have a channel please subscribe to it i will be thank full

"  ZK SOFT&GAMING"  search this on you-tube.

You receive $8 for raking leaves for 2 hours. What is your hourly wage?

An expression is

An hourly wage is $

Answers

Answer:

your hourly wage is 4

Step-by-step explanation:

Hourly wage will be 4 if done correctly.

Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax using the follow expression, c represents the original cost of the coffee pot. C- 0.2c
Which other expression could kelly use to calculate her cost before sales tax?
A. 0.8c
B. 1.2c
C. 1.8c
D. 80c​

Answers

A had it before tee her

The list below shows all the possible outcomes for tossing a coin and rolling a 1 to 6 number cube. What is the probability that Max tosses heads and rolls a number greater than 2

Answers

Answer:

5

Step-by-step explanation:

5

Step-by-step explanation:

Because you would have to find which numbers have heads then find the one that has more than 2.

Which term for set A makes this diagram true? Choose true or false for each term.

Real Number
Rational numbers
A

A. Whole Numbers. True or False
B. Irrational Numbers. True or False
C. Integers. True or False
D. Repeating Decimals. True or False​

Answers

B irrational numbers true or false

5. You are taking a math quiz and need to complete at least 10 Geometry problems
and Algebra problems within 120 minutes. It will take you 15 minutes for each
Geometry problem and 10 minutes for each Algebra problem. Which system of
inequalities can be used to determine the amount of a, Algebra problems, and g,
Geometry problems you can complete.

Answers

Answer: 15g+10a(less than or equal to <) 120

2g+3a<10

The system of inequalities that can be used to determine the amount of geometry problems (g) and algebra problems (a) is:

[tex]a + g \geq 10[/tex]

[tex]10a + 15g \leq 120[/tex]

We can translate the given situation into inequalities to get the system of inequalities that we can use to find the amount of algebra and geometry problems that can be completed.

Thus:

a = amount of algebra problems

g = amount of geometry problems

Therefore, the inequality that at least 10 geometry and algebra problems will be:

[tex]a + g \geq 10[/tex]

Thus:

15 minutes for each geometric problem = 15g

10 minutes for each algebra problem = 10a

If all is intended to be taken within 120 minutes, therefore, the inequality that represents this will be:

[tex]10a + 15g \leq 120[/tex]

Therefore, the system of inequalities that can be used to determine the amount of geometry problems (g) and algebra problems (a) is:

[tex]a + g \geq 10[/tex]

[tex]10a + 15g \leq 120[/tex]

Learn more here:

https://brainly.com/question/9774970

find the scale factor

Answers

2 because the one side doubled and what happens to 1 side happens to them all, so 2

Answer:

2 is ur answer.

hope it helps you.

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